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The sum of two consecutive integers is 129.  Find both integers. 

 Sep 24, 2020
 #1
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I will assume consecutive to mean that the integers have a difference between them of 1.

 

We can now define 2 integers, a and b, and say that a > b.

 

From this we know that, given the difference is equal to one: a + 1 = b.

 

We also know that a + b = 129.

 

Substituting the alternative form of b in, we have: a + (a + 1) = 129.

 

After combining terms (grouping), we have: 2a + 1 = 129.

 

After isolating variables (getting a alone on one side), we get 2a = 128, which, when dividing each side, resolves into a = 64.

 

Plugging a back into the above equation, we find b = (64) + 1, or b = 65.

 

The consecutive integers are therefore 64 and 65.

 Sep 24, 2020
 #2
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ok thank you for your helap i apprecieate it 

 Sep 25, 2020

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